COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 75.
Have
Now symmetry implies
( )1 + ( I xy )2 + ( I xy )3
I xy = I xy
( I xy )1 = 0
and for the other rectangles
I xy = I x′y′ + x y A
Thus
I xy = ( x y A)2 + ( x y A)3
where
I x′y′ = 0 (symmetry)
= ( − 69 mm )( − 25 mm ) (12 mm )( 38 mm )
+ ( 69 mm )( 25 mm ) (12 mm )( 38 mm )
= ( 786 600 + 786 600 ) mm 4 = 1 573 200 mm 4
or I xy = 1.573 × 106 mm 4
COSMOS Chapter 9 Solution 75
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